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Finding the Third Proportional to 320,760 and 703,274.27

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Solution

The third proportional to 320,760 and 703,274.27 is: 1,541,946.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,760 : 703,274.27 = 703,274.27 : x
  2. Step 2: Convert to fraction form
    320,760/703,274.27 = 703,274.27/x
  3. Step 3: Cross multiply
    320,760x = 703,274.27 × 703,274.27
  4. Step 4: Simplify right side
    320,760x = 494,594,703,679.04
  5. Step 5: Solve for x
    x = 494,594,703,679.04/320,760
  6. Step 6: Final answer
    x = 1,541,946.33

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.